Source code for mimiqcircuits.operations.gates.standard.cphase
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import mimiqcircuits.operations.control as mctrl
from mimiqcircuits.operations.gates.standard.cpauli import GateCX
from mimiqcircuits.operations.gates.standard.phase import GateP
[docs]
class GateCP(mctrl.Control):
r"""Two qubit Controlled-Phase gate.
By convention, the first qubit is the control and the second is
the target
See Also :func:`GateP`
**Matrix representation:**
.. math::
\operatorname{CP}(\lambda) = \begin{pmatrix}
1 & 0 & 0 & 0 \\
0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 \\
0 & 0 & 0 & e^{i\lambda}
\end{pmatrix}
Parameters:
lambda: Phase angle in radians.
Examples:
>>> from mimiqcircuits import *
>>> from symengine import *
>>> lmbda = Symbol('lambda')
>>> GateCP(lmbda), GateCP(lmbda).num_controls, GateCP(lmbda).num_targets, GateCP(lmbda).num_qubits
(CP(lambda), 1, 1, 2)
>>> GateCP(lmbda).matrix()
[1.0, 0, 0, 0]
[0, 1.0, 0, 0]
[0, 0, 1.0, 0]
[0, 0, 0, exp(I*lambda)]
<BLANKLINE>
>>> c = Circuit().push(GateCP(lmbda), 10, 11)
>>> c
12-qubit circuit with 1 instructions:
└── CP(lambda) @ q[10], q[11]
<BLANKLINE>
>>> GateCP(lmbda).decompose()
2-qubit circuit with 5 instructions:
├── P((1/2)*lambda) @ q[0]
├── CX @ q[0], q[1]
├── P((-1/2)*lambda) @ q[1]
├── CX @ q[0], q[1]
└── P((1/2)*lambda) @ q[1]
<BLANKLINE>
"""
def __init__(self, *args, **kwargs):
super().__init__(1, GateP(*args, **kwargs))
def _decompose(self, circ, qubits, bits):
c, t = qubits
lmbda2 = self.op.lmbda / 2
circ.push(GateP(lmbda2), c)
circ.push(GateCX(), c, t)
circ.push(GateP(-lmbda2), t)
circ.push(GateCX(), c, t)
circ.push(GateP(lmbda2), t)
return circ